225201200 has 60 divisors (see below), whose sum is σ = 618345840. Its totient is φ = 77210880.

The previous prime is 225201181. The next prime is 225201209. The reversal of 225201200 is 2102522.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (225201209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37415 + ... + 43014.

It is an arithmetic number, because the mean of its divisors is an integer number (10305764).

Almost surely, 2^225201200 is an apocalyptic number.

225201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225201200 is an abundant number, since it is smaller than the sum of its proper divisors (393144640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225201200 is a wasteful number, since it uses less digits than its factorization.

225201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80454 (or 80443 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 225201200 is about 15006.7051680241. The cubic root of 225201200 is about 608.4014402177.

Adding to 225201200 its reverse (2102522), we get a palindrome (227303722).

The spelling of 225201200 in words is "two hundred twenty-five million, two hundred one thousand, two hundred".